Tan 342 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 342°?
Answer
tan 342° =
−√(25 − 10√5)/5 ≈ −0.3249
Angle in radians: 342° = 19π/10. The point of the angle is in quadrant IV, where tangent is negative.
≈ — rounded to 4 decimal places.
tan 342° = tan(360° − 18°) = −tan 18° = −√(25 − 10√5)/5
tan 342° = sin 342° / cos 342° = (−(√5 − 1)/4) / (√(10 + 2√5)/4) = −√(25 − 10√5)/5
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
tan 18° = sin 18° / cos 18° = √(25 − 10√5)/5
P(cos 342°, sin 342°) ≈ (0.9511, −0.3090)
T(1, tan 342°) ≈ (1, −0.3249) — where line OP meets the line x = 1.
| Function | Exact value | Decimal |
|---|---|---|
| sin 342° | −(√5 − 1)/4 | ≈ −0.3090 |
| cos 342° | √(10 + 2√5)/4 | ≈ 0.9511 |
| tan 342° | −√(25 − 10√5)/5 | ≈ −0.3249 |
| cot 342° | −√(5 + 2√5) | ≈ −3.0777 |
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See Also
- Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples
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